GCD of 305, 561, 804, 702 Calculator

Given Input numbers are 305, 561, 804, 702

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 305, 561, 804, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 561, 804, 702 is 1.

Therefore, GCD of numbers 305, 561, 804, 702 is 1

Given Input Data is 305, 561, 804, 702

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 305 is 5 x 61

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(305, 561) = 171105

GCD(305, 561) = ( 305 x 561 ) / 171105

GCD(305, 561) = 171105 / 171105

GCD(305, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 305, 561, 804, 702 is 1

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1. What is the GCD of 305, 561, 804, 702?

GCD of 305, 561, 804, 702 is 1

2. Where do I get the detailed procedure to find GCD of 305, 561, 804, 702?

You can find a detailed procedure to find GCD of 305, 561, 804, 702 on our page.

3. How to find GCD of 305, 561, 804, 702 on a calculator?

You can find the GCD of 305, 561, 804, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.